%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:11:56 PM UTC 2026
% Result : Theorem 16.71s 2.57s
% Output : Proof 16.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 36 unt; 0 def)
% Number of atoms : 125 ( 47 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 138 ( 68 ~; 21 |; 46 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-4 aty)
% Number of variables : 65 ( 2 sgn 35 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X,A,B] :
( in_lopen(X,A,B)
<=> ( leq(X,B)
& less(A,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_lopen) ).
fof(f10_nnf,plain,
! [X,A,B] :
( ( ~ leq(X,B)
| ~ less(A,X)
| in_lopen(X,A,B) )
& ( ( leq(X,B)
& less(A,X) )
| ~ in_lopen(X,A,B) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X,A,B] :
( ( ~ leq(X,B)
| ~ less(A,X)
| in_lopen(X,A,B) )
& ( ( leq(X,B)
& less(A,X) )
| ~ in_lopen(X,A,B) ) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c15,plain,
( leq(X0,X2)
| ~ in_lopen(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi14,axiom,
ifeq(in_lopen(X0,X1,X2),true,leq(X0,X2),true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
fof(f38,conjecture,
~ ? [X,Y,Z] :
( leq(v200,Z)
& in_lopen(Z,v0,v200)
& less(v400,Y)
& in_lopen(Y,v0,v400)
& leq(v600,X)
& in_lopen(X,v0,v600) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl432) ).
fof(f38_neg,negated_conjecture,
~ ~ ? [X,Y,Z] :
( leq(v200,Z)
& in_lopen(Z,v0,v200)
& less(v400,Y)
& in_lopen(Y,v0,v400)
& leq(v600,X)
& in_lopen(X,v0,v600) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f38_nnf,plain,
? [X,Y,Z] :
( leq(v200,Z)
& in_lopen(Z,v0,v200)
& less(v400,Y)
& in_lopen(Y,v0,v400)
& leq(v600,X)
& in_lopen(X,v0,v600) ),
inference(nnf_transformation,[status(thm)],[f38_neg]) ).
fof(f38_sk,plain,
( leq(v200,sk5)
& in_lopen(sk5,v0,v200)
& less(v400,sk4)
& in_lopen(sk4,v0,v400)
& leq(v600,sk3)
& in_lopen(sk3,v0,v600) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3,sk4,sk5])],[f38_nnf]) ).
cnf(c63,plain,
in_lopen(sk4,v0,v400),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi52,negated_conjecture,
in_lopen(sk4,v0,v400) = true,
inference(equality_encoding,[status(esa)],[c63]) ).
cnf(h72,plain,
leq(sk4,v400) = true,
inference(hyper_resolution,[status(thm)],[hi14,hi52]) ).
fof(f7,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& less(X,Y) )
=> less(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_leq_trans) ).
fof(f7_nnf,plain,
! [X,Y,Z] :
( less(X,Z)
| ~ leq(Y,Z)
| ~ less(X,Y) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y,Z] :
( less(X,Z)
| ~ leq(Y,Z)
| ~ less(X,Y) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c9,plain,
( less(X0,X2)
| ~ leq(X1,X2)
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi8,axiom,
ifeq(less(X0,X1),true,ifeq(leq(X1,X2),true,less(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(c64,plain,
less(v400,sk4),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi53,negated_conjecture,
less(v400,sk4) = true,
inference(equality_encoding,[status(esa)],[c64]) ).
cnf(h589,plain,
less(v400,v400) = true,
inference(hyper_resolution,[status(thm)],[hi8,hi53,h72]) ).
fof(f0,axiom,
! [X] : ~ less(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive) ).
fof(f0_nnf,plain,
! [X] : ~ less(X,X),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] : ~ less(X,X),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ less(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi56,axiom,
ifeq(less(X0,X0),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi56,h589]) ).
cnf(t1616,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f13,axiom,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_conflict(I1lo,I1hi,I2lo,I2hi)
<=> ~ ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axis_conflict_def) ).
fof(f13_nnf,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( ( ? [X] :
( in_closed(X,I2lo,I2hi)
& in_closed(X,I1lo,I1hi) )
| axis_conflict(I1lo,I1hi,I2lo,I2hi) )
& ( ! [X] :
( ~ in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi) )
| ~ axis_conflict(I1lo,I1hi,I2lo,I2hi) ) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [I1lo,I1hi,I2lo,I2hi,X] :
( ( ( in_closed(sk0(I1lo,I1hi,I2lo,I2hi),I2lo,I2hi)
& in_closed(sk0(I1lo,I1hi,I2lo,I2hi),I1lo,I1hi) )
| axis_conflict(I1lo,I1hi,I2lo,I2hi) )
& ( ~ in_closed(X,I2lo,I2hi)
| ~ in_closed(X,I1lo,I1hi)
| ~ axis_conflict(I1lo,I1hi,I2lo,I2hi) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f13_nnf]) ).
cnf(c23,plain,
( ~ in_closed(X4,X2,X3)
| ~ in_closed(X4,X0,X1)
| ~ axis_conflict(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
fof(f19,axiom,
conflict != compatible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).
fof(f19_nnf,plain,
conflict != compatible,
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
conflict != compatible,
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c35,plain,
conflict != compatible,
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f20,axiom,
conflict != unknown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).
fof(f20_nnf,plain,
conflict != unknown,
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
conflict != unknown,
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c36,plain,
conflict != unknown,
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
fof(f21,axiom,
compatible != unknown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).
fof(f21_nnf,plain,
compatible != unknown,
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
compatible != unknown,
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c37,plain,
compatible != unknown,
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
fof(f37,axiom,
( v400 != v600
& v200 != v600
& v200 != v400
& v0 != v600
& v0 != v400
& v0 != v200 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
fof(f37_nnf,plain,
( v400 != v600
& v200 != v600
& v200 != v400
& v0 != v600
& v0 != v400
& v0 != v200 ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
( v400 != v600
& v200 != v600
& v200 != v400
& v0 != v600
& v0 != v400
& v0 != v200 ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c55,plain,
v0 != v200,
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(c56,plain,
v0 != v400,
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(c57,plain,
v0 != v600,
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(c58,plain,
v200 != v400,
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(c59,plain,
v200 != v600,
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(c60,plain,
v400 != v600,
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c0,c23,c35,c36,c37,c55,c56,c57,c58,c59,c60]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1616]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 01:24:19 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.71/2.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.71/2.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------